789958440 has 256 divisors, whose sum is σ = 2801952000. Its totient is φ = 197406720.

The previous prime is 789958409. The next prime is 789958441. The reversal of 789958440 is 44859987.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (789958441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2811100 + ... + 2811380.

It is an arithmetic number, because the mean of its divisors is an integer number (10945125).

Almost surely, 2^789958440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789958440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400976000).

789958440 is an abundant number, since it is smaller than the sum of its proper divisors (2011993560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

789958440 is a wasteful number, since it uses less digits than its factorization.

789958440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 789958440 is about 28106.1993161651. The cubic root of 789958440 is about 924.4173355115.

The spelling of 789958440 in words is "seven hundred eighty-nine million, nine hundred fifty-eight thousand, four hundred forty".